Natural convection in a wavy porous cavity with sinusoidal temperature distributions on both side walls filled with a nanofluid: Buongiorno's mathematical model

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Abstract

A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.

Original languageEnglish
Article number072601
JournalJournal of Heat Transfer
Volume137
Issue number7
DOIs
Publication statusPublished - 1 Jul 2015

Fingerprint

Natural convection
free convection
Thermophoresis
mathematical models
Temperature distribution
temperature distribution
Brownian movement
Mathematical models
Buoyancy
cavities
thermophoresis
buoyancy
Finite difference method
Boundary value problems
Flow of fluids
Heat transfer
Boussinesq approximation
Lewis numbers
Rayleigh number
Nusselt number

Keywords

  • Buongiorno model
  • heat transfer
  • nanofluid
  • numerical solution
  • porous medium
  • wavy wall cavity

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.",
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N2 - A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.

AB - A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.

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